146008512 has 336 divisors, whose sum is σ = 505919232. Its totient is φ = 39813120.

The previous prime is 146008463. The next prime is 146008517. The reversal of 146008512 is 215800641.

146008512 is a `hidden beast` number, since 1 + 4 + 600 + 8 + 51 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146008517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3946158 + ... + 3946194.

It is an arithmetic number, because the mean of its divisors is an integer number (1505712).

Almost surely, 2^146008512 is an apocalyptic number.

146008512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146008512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252959616).

146008512 is an abundant number, since it is smaller than the sum of its proper divisors (359910720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146008512 is a wasteful number, since it uses less digits than its factorization.

146008512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 146008512 is about 12083.3981975271. The cubic root of 146008512 is about 526.5739757475.

The spelling of 146008512 in words is "one hundred forty-six million, eight thousand, five hundred twelve".